Lecture 11: Affine schemes

We covered 12.1–12.20 of Gathmann's notes.

• The set Spec R.
• The functions on Spec R. Residue fields. V and I.
• The topological space Spec R. Closed points. Generic points. The distinguished open D(f).
• The Nullstellensatz (Prop 12.10).
• The ringed space Spec R. Lemma 12.18 and Proposition 12.19.

Suggested exercises: 12.14, 12.15, 12.21 (that is, all).